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Simplifying 14r + 10 = 7r + 31 Reorder the terms: 10 + 14r = 7r + 31 Reorder the terms: 10 + 14r = 31 + 7r Solving 10 + 14r = 31 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 10 + 14r + -7r = 31 + 7r + -7r Combine like terms: 14r + -7r = 7r 10 + 7r = 31 + 7r + -7r Combine like terms: 7r + -7r = 0 10 + 7r = 31 + 0 10 + 7r = 31 Add '-10' to each side of the equation. 10 + -10 + 7r = 31 + -10 Combine like terms: 10 + -10 = 0 0 + 7r = 31 + -10 7r = 31 + -10 Combine like terms: 31 + -10 = 21 7r = 21 Divide each side by '7'. r = 3 Simplifying r = 3
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